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# solve for R C=K(Rr/R-r)?

solve for R C+K(Rr/R-r)

### 4 Answers

- rongee_59Lv 61 decade agoFavorite Answer
C=K(Rr/R-r)

Divide both sides by K:

C/K = (Rr/R-r)

Multiply both sides by (R-r):

(R-r)(C/K) = Rr

Distribute C/K:

CR/K-Cr/K = Rr

Subtract Rr from both sides, add Cr/K to both sides:

CR/K - Rr = Cr/K

Extract R:

R(C/K - r) = Cr/K

Divide both sides by (C/K - r):

R = (Cr/K)/(C/K - r)

Since K/K = 1, we can make r = Kr/K in order to give it a common denominator with C/K:

R = (Cr/K)/(C/K - Kr/K)

R = (Cr/K)/((C - Kr)/K)

Dividing by a fraction is the same as multiplying by the reciprocal:

R = (Cr/K)(K/(C-Kr))

R = Cr/(C-Kr)

- Anonymous1 decade ago
R C=K(Rr/R-r)

(R C)/(Rr/R-r)=K

(R C)/(Rr/R-r)K=K/K

(R C)/(Rr/R-r)K=1

-1+ (R C)/(Rr/R-r)K=1 -1

0 . (R C)/(Rr/R-r)K=0 . 0

0 = 0

as 0 equals 0, that the answer is true

PS: you are lost.

- fossettLv 44 years ago
a million / R = a million / A + a million/ B + a million/C = (B + A) / (AB) + a million/ C (uncomplicated denominator then upload) = (C(B + A) + AB) / CAB (comparable element back) take reciprocal of the two facets (turn): R = (C*A*B) / (CB +CA + AB) Please no longer that the R = A + B + C answer is incorrect for the reason which you could no longer take the reciprocal of all 3 fractions, first you could desire to upload them mutually.